A regular polygon has each of its exterior angles as 18o. How many sides has the polygon
10
11
12
20
24
Correct answer is D
360/18 = 20
Find the value of t in the diagram above
5.6cm
6.5cm
6.6cm
6.8cm
7.0cm
Correct answer is A
t/4 + t = 7/7 + 5 t = 5.6
The angles marked in the diagram above are measured in degrees. Find x
15o
24o
30o
36o
48o
Correct answer is B
Sum of exterior angles = 360°
2x + 3x + 2x + 3x + 5x = 360°
15x = 360°
x = 360°/15 = 24°
In the diagram above, ML//PQ and NP//QR, if ∠LMN = 40° and ∠MNP = 55°. Find ∠QPR
15o
25o
35o
40o
55o
Correct answer is A
Draw line ANB// ML
< MNA = 40° (alternate angle AB/ ML)
< ANP = 55° - 40° = 15°
< POR = 15° = < ANP (corresponding angles, PN // RQ)
In the diagram above, O is the center of the circle QOR is a diameter and ∠PSR is 37°. Find ∠PRQ
37o
53o
65o
127o
147o
Correct answer is B
Construction: Join PQ.
Then < RSP = 37° = < RQP (angles on the same segment)
But < RPQ = 90° (angle in a semi-circle)
\(\therefore\) < PRQ = 180° - (90° + 37°)
= 53°
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